davidt964 / Hopf-Bifurcation-Project

Based on the Holling-Tanner predator-prey model, the goal of this project was to analyze data of a population of wolves from Yellowstone National Park in order to determine how to stimulate a healthy oscillatory cycle. Obtaining this value was found through the utilization of linear algebra to find the Hopf bifurcation values of the parameters in the model.

Geek Repo:Geek Repo

Github PK Tool:Github PK Tool

Hopf-Bifurcation-Project

This project utilizes the Holling-Tanner predator-prey model to analytically determine values of parameters within the equations to stimulate a healthy oscillatory cycle. To accomplish this, Python is used to perform the computational legwork and provides visualizations of the findings in order to ease comprehension.

Project Report

The project report can be found above in the .pdf file, providing meaning to the equations and graphs in the interactive file. Primarily, concepts from differential equations and linear algebra were utilized to determine the values where Hopf Bifurcations occur, among other variables.

About

Based on the Holling-Tanner predator-prey model, the goal of this project was to analyze data of a population of wolves from Yellowstone National Park in order to determine how to stimulate a healthy oscillatory cycle. Obtaining this value was found through the utilization of linear algebra to find the Hopf bifurcation values of the parameters in the model.


Languages

Language:Jupyter Notebook 100.0%